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Simplifying 0.30x + 0.05(20 + -1x) = 0.10(25) 0.30x + (20 * 0.05 + -1x * 0.05) = 0.10(25) 0.30x + (1 + -0.05x) = 0.10(25) Reorder the terms: 1 + 0.30x + -0.05x = 0.10(25) Combine like terms: 0.30x + -0.05x = 0.25x 1 + 0.25x = 0.10(25) Multiply 0.10 * 25 1 + 0.25x = 2.5 Solving 1 + 0.25x = 2.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.25x = 2.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.25x = 2.5 + -1 0.25x = 2.5 + -1 Combine like terms: 2.5 + -1 = 1.5 0.25x = 1.5 Divide each side by '0.25'. x = 6 Simplifying x = 6
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